Multifractal Behaviour of n-Simplex Lattice

Sanjay Kumar; D. Giri; Sujata Krishna

doi:10.1007/s12043-000-0181-3

paper

Multifractal Behaviour of n-Simplex Lattice

arXiv:cond-mat/0005472 · doi:10.1007/s12043-000-0181-3

Abstract

We study the asymptotic behaviour of resistance scaling and fluctuation of resistance that give rise to flicker noise in an {\em n}-simplex lattice. We propose a simple method to calculate the resistance scaling and give a closed-form formula to calculate the exponent, $β_{L}$ , associated with resistance scaling, for any n. Using current cumulant method we calculate the exact noise exponent for n-simplex lattices.

Latex, 9 pages including one figure

References in corpus (1)

Phase Distribution in a Disordered Chain and the Emergence of a Two-parameter Scaling in the Quasi-ballistic to the Mildly Localized Regime